2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can 9 persons be seated in a round table with 9 chairs if 2 individuals insist on sitting next to each other?

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: 4. Suppose Pat has eight shirts and four pairs of pants. How many different outfits can Pat make by…

A: Every shirt combines with every pair of pants to make an outfit.  Shirt 1 creates an unique outfit…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: In how many ways can 10 people be seated on a bench if only 4 seats are available?

A: Given problem Given that   In how many ways can 10 people be seated on a bench if only 4 seats are…

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can 6 boys and 6 girls be seated around a circular table if all the no girls are…

A:

Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

Q: In how many ways can 5 letters be posted in 4 post - boxes?

A: We have 5 letters with us and 4 post-boxes.  Now, any letter can be put in any post-box.

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: 8. In how many ways can a committee of three faculty members and two student selected from seven…

A: We have to make a committee of three faculty members and two students. We have to select from seven…

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: 2. How many ways can a postman post 3 letters in 5 letter boxes?

A:

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

A:

Q: 3) In how many ways can three bracelets be selected from a box of ten bracelets?

A:

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: 10. In how many ways can you line up 5persons to get on a bus?

A: Given problem Given that   10) In how many ways can you line up 5 persons to get on a bus ?

Q: In how many ways can 3 Americans, 4 Frenchman, 4 Danes and 2 Italians be seated in a row of 13 seats…

A:

Q: In how many ways can 10 people be seated in 10 adjacent seats in a theater?

A: Given: In how many ways can 10 people be seated in 10 adjacent seats in a theater. We need to…

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

A:

Q: In how many ways can you sit 8 people on a round table (a) if there are no restrictions? (b) if two…

A: Given: Total number people = 8

Q: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for…

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

A:

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: In how many ways can 3 student, 4 teachers and 4 workers sit in a line if the teachers always set…

A:

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: In how many ways can 6 bicycles be parked in a row?

A:

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

A:

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

A:

Q: A classroom has 8 vacant chairs, 3 in the front row and 5 in the back row. In how many ways can 5…

A: Let us assume there are three students A, B and C sitting beside each other. The different ways in…

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: 9. In how many ways can three boys can be seated on five chairs?

A: In question, We'll find the ways in which three boys seated on five chairs. The solution is below,

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: In how many ways can 10 people be seated around a circular table?

A: Permutation of n person sitting in a straight line is given by n! Since for person sitting on…

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: In how many ways can a person invite 4 out of their 13 closest friends to a dinner party?

A: Here there are 13 friends out of which the person has to invite 4 friends for the dinner party. Here…

Q: How many license plates can be made using either two or three letters followed by either two or…

A:

Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

A: The number people to be chosen for the subcommittee is 7. There are 7 democrats and 7 Republicans.…

Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

A:

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

A:

Q: n how many ways could a club of 19 members choose a president, vice president, and treasurer?

A: The club has 19 members. To find the number of ways to choose a president, vice president, and…

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

A: given: Number of men = 12 Number of women = 12 The number of ways of choosing "r" from "n" is…

Q: In how many ways can six medical technology students be seated in a round table if two of the six…

A: The number of ways n people can arrange in a seating order is (n!).

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…